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@pitmonticone
pitmonticone
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Pietro Monticone pitmonticone

Informal Mathematics@unitrento || Formal Mathematics at Harmonic || Formalising in@leanprover || Developing in@JuliaLang and@python.

Highlights

  • Pro

Organizations

@NVIDIAGameWorks@JuliaGraphs@JuliaDynamics@StatisticalRethinkingJulia@JuliaCommunity@InPhyT@JuliaHealth@DoriaLab@UniTo-SEPI@BayesianDataAnalysisJulia@NeuronalDynamicsJulia@JuliaEpi@JuliaTrustworthyAI@TidierOrg@FormalMathematicsLab

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pitmonticone/README.md

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Current Selected Projects

Libraries & Templates

  • LeanBlueprint: Python library to write blueprints for formalisation projects in the Lean proof assistant.
  • LeanProject: Template for blueprint-driven formalization projects in Lean.
  • Mathlib: Lean library of formalised mathematics.

Algebra

  • EquationalTheories: Mapping out and formalising the relations between different equational theories of magmas in the Lean proof assostant.

Analysis

  • BonnAnalysis: Collaborative formalisation seminars in Analysis at the University of Bonn.
  • Carleson: Formalising a generalised Carleson's Theorem in the Lean proof assistant.

Number Theory

  • FLT3: Formalising Fermat's Last Theorem for Exponent 3 in the Lean proof assistant.
  • FLT: Formalising Fermat's Last Theorem in the Lean proof assistant.
  • PFR: Formalising the Polynomial Freiman Ruzsa conjecture and related results in the Lean proof assistant.
  • PNT+: Formalising the Prime Number Theorem and more in the Lean proof assistant.

Dynamical Systems Theory

  • BET: Formalising Birkhoff's Ergodic Theorem in the Lean proof assistant.
  • TopologicalEntropy: Formalising topological entropy in the Lean proof assistant and integrating it into Mathlib.

Mathematical Physics

  • HepLean: Formalising high energy physics in the Lean 4 proof assistant.

Talks

2025

2024

2023

PinnedLoading

  1. leanprover-community/mathlib4leanprover-community/mathlib4Public

    The math library of Lean 4

    Lean 1.8k 387

  2. PatrickMassot/leanblueprintPatrickMassot/leanblueprintPublic

    plasTeX plugin to build formalization blueprints.

    Python 189 33

  3. teorth/equational_theoriesteorth/equational_theoriesPublic

    A project to map out the relations between different equational theories of Magmas.

    C 307 68

  4. ImperialCollegeLondon/FLTImperialCollegeLondon/FLTPublic

    Ongoing Lean formalisation of the proof of Fermat's Last Theorem

    Lean 395 58

  5. teorth/pfrteorth/pfrPublic

    Repository for formalization of the Polynomial Freiman Ruzsa conjecture (and related results)

    Lean 147 36

  6. JuliaGraphs/MultilayerGraphs.jlJuliaGraphs/MultilayerGraphs.jlPublic

    A Julia package for the creation, manipulation and analysis of the structure, dynamics and functions of multilayer graphs.

    Julia 122 4


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